"Norwich have always been a club I've admired in the past and to come and play in the Championship for a club like this is the best feeling in the world for me."
Wilbraham has scored three times in 12 games this season for the League One Dons and was sent off in his last outing, a 2-0 defeat by Notts County.
The frontman started his career with Stockport and scored 36 times in 185 appearances before joining Hull City for £100,000 in the summer of 2004.
It is likely he will act as backup to City's leading scorer Grant Holt, who until now had been boss Paul Lambert's only recognised target man.
"Wherever I've been there's been two big target men to come in when one is injured or suspended as well as maybe both playing together," he added.
"I'm going to try and grab this chance with both hands, I had loads of friends texting me yesterday saying it was a great chance for me and I'm going to try and hang onto it."
Wilbraham had just one season with Hull, which included two goals in 20 games and a one-month loan spell at Oldham.
A switch to the Dons followed in June 2005 and he has gone on to feature 202 times, finding the net on 57 occasions.
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